MOMENTUM EQUATION AND SIMPLE WAVES IN AN ELASTIC PIPELINE

A. N. Volobuev and A. P. Tolstonogov

UDC 532.5.52

A comparative analysis of momentum equations for an ideal-liquid 
flow in rigid and elastic pipelines has been performed. A fundamental 
difference of these equations has been shown using individual examples. 
The influence of the character of the boundary has been analyzed. 
A general solution analogous to the Riemann solution for propagation 
of a simple nonlinear wave in an elastic pipeline has been obtained. 
It has been shown that the wave shape changes for any velocity of 
the liquid in the pipeline and a shock wave occurs. The formation 
length of the shock wave has been evaluated.

Akad. S. P. Korolev Samara State Aerospace University, 
34 Moskovskoe Shosse, Samara, 443086, Russia; email: volobuev@samaramail.ru. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 79, No. 5, pp. 
147-151, September-October, 2006. Original article submitted 
December 20, 2004; revision submitted February 16, 2006.